A NOVEL LESS DISSIPATION FINITE-DIFFERENCE LATTICE BOLTZMANN SCHEME FOR COMPRESSIBLE FLOWS

Q. Chen and X. B. Zhang ()
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Q. Chen: School of Energy and Power Engineering, Nanjing University of Science and Technology, Jiangsu 210094, P. R. China
X. B. Zhang: School of Energy and Power Engineering, Nanjing University of Science and Technology, Jiangsu 210094, P. R. China

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 11, 1-16

Abstract: In this paper, a new smoothness indicator is proposed to improve the finite-difference lattice Boltzmann method (FDLBM). The necessary and sufficient conditions for convergence are derived. A detailed analysis reveals that the convergence order is higher than that of the previous finite-difference scheme. The coupled double distribution function (DDF) model is used to describe discontinuity flows and verify the improvement. Numerical simulations of compressible flows with shock wave show that the improved finite-difference lattice Boltzmann scheme is accurate and has less dissipation. The numerical results are found to be in good agreement with the analytical results and better than those of the previous scheme.

Keywords: Less dissipation; FDLBM; coupled DDF model; smoothness indicator; compressible flows; 02.70.-c; 47.11.-j; 47.40.-x (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S012918311250074X

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